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Finding the Fourth Proportional to 407.38, 610.91 and 176.25

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Solution

The fourth proportional to 407.38, 610.91 and 176.25 is: 264.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.38 : 610.91 = 176.25 : x
  2. Step 2: Convert to fraction form
    407.38/610.91 = 176.25/x
  3. Step 3: Cross multiply
    407.38x = 610.91 × 176.25
  4. Step 4: Simplify right side
    407.38x = 107,673.55
  5. Step 5: Solve for x
    x = 107,673.55/407.38
  6. Step 6: Final answer
    x = 264.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.